One-loop unquenched three-gluon and ghost-gluon vertex in the Curci-Ferrari model

Abstract

In this article we study the unquenched three-gluon and ghost-gluon vertex in all momentum range going from the ultraviolet to the infrared regime using the Curci-Ferrari model at one-loop in Landau gauge as an extension of the results presented in \cite{Pelaez:2013cpa}. Results are compared with recent lattice data for $SU(3)$ in the unquenched case. This calculation is a pure prediction of the model because it does not require fixing any parameter once two-point functions are fitted. An analysis of the influence of dynamical quarks in the position of the zero crossing of the three-gluon vertex is presented. Due to the recent improvements in infrared lattice data for the quenched three-gluon correlation function \cite{Aguilar:2021lke} we also redo the comparison between our one-loop results in this limit and the lattice obtaining a very good match.

arXiv comment13 pages, 9 figures

References in corpus (83)

• The Infrared Behavior of QCD Green's Functions - Confinement, Dynamical Symmetry Breaking, and Hadrons as Relativistic Bound States
• The nonperturbative functional renormalization group and its applications
• A refinement of the Gribov-Zwanziger approach in the Landau gauge: infrared propagators in harmony with the lattice results
• Gluon and ghost propagators in the Landau gauge: Deriving lattice results from Schwinger-Dyson equations
• Lattice gluodynamics computation of Landau-gauge Green's functions in the deep infrared
• Algorithm FIRE -- Feynman Integral REduction
• On the infrared behavior of Landau gauge Yang-Mills theory
• The Infrared Behavior of Gluon and Ghost Propagators in Landau Gauge QCD
• Constraints on the IR behavior of the gluon propagator in Yang-Mills theories
• On the Infrared Exponent for Gluon and Ghost Propagation in Landau Gauge QCD
• Non-perturbative Landau gauge and infrared critical exponents in QCD
• Chiral symmetry breaking in continuum QCD
• Infrared behaviour and fixed points in Landau gauge QCD
• Landau gauge Yang-Mills correlation functions
• The Gribov problem and QCD dynamics
• Infrared propagators of Yang-Mills theory from perturbation theory
• Gauge bosons at zero and finite temperature
• Light mesons in QCD and unquenching effects from the 3PI effective action
• The Infrared Behaviour of the Pure Yang-Mills Green Functions
• Infrared Exponents and Running Coupling of SU(N) Yang-Mills Theories
• Vertex functions and infrared fixed point in Landau gauge SU(N) Yang-Mills theory
• An Infrared Safe perturbative approach to Yang-Mills correlators
• Three-point vertices in Landau-gauge Yang-Mills theory
• The lattice Landau gauge gluon propagator: lattice spacing and volume dependence
• The three-gluon vertex in Landau gauge
• Gluonic three-point correlations in pure Landau gauge QCD
• Three-point correlation functions in Yang-Mills theory
• TSIL: a program for the calculation of two-loop self-energy integrals
• IR finiteness of the ghost dressing function from numerical resolution of the ghost SD equation
• Uniqueness of infrared asymptotics in Landau gauge Yang-Mills theory
• Exploratory study of three-point Green's functions in Landau-gauge Yang-Mills theory
• Renormalization flow of Yang-Mills propagators
• On the zero crossing of the three-gluon vertex
• Effects of divergent ghost loops on the Green's functions of QCD
• SU(2) lattice gluon propagator: continuum limit, finite-volume effects and infrared mass scale m_IR
• Fully coupled functional equations for the quark sector of QCD
• Three loop MSbar renormalization of the Curci-Ferrari model and the dimension two BRST invariant composite operator in QCD
• Two-point correlation functions of QCD in the Landau gauge
• The strong running coupling from the gauge sector of Domain Wall lattice QCD with physical quark masses
• Correlation functions of Landau gauge Yang-Mills theory
• The Heavy Quark Potential from Wilson's Exact Renormalization Group
• Infrared analysis of propagators and vertices of Yang--Mills theory in Landau and Coulomb gauge
• Gluon propagator and three-gluon vertex with dynamical quarks
• Refining the detection of the zero crossing for the symmetric and asymmetric three-gluon vertices
• Analytical study of Yang-Mills theory in the infrared from first principles
• Is the QCD ghost dressing function finite at zero momentum ?
• QCD in the Infrared with Exact Angular Integrations
• The infrared behavior of Landau gauge Yang-Mills theory in d=2, 3 and 4 dimensions
• Ghost propagator and ghost-gluon vertex from Schwinger-Dyson equations
• Yang-Mills two-point functions in linear covariant gauges
• Further Evidence For Zero Crossing On The Three Gluon Vertex
• Discretization effects on renormalized gauge-field Green's functions, scale setting and gluon mass
• How nonperturbative is the infrared regime of Landau gauge Yang-Mills correlators?
• High-Temperature Limit of Landau-Gauge Yang-Mills Theory
• Analytic structure of QCD propagators in Minkowski space
• Two loop calculation of Yang-Mills propagators in the Curci-Ferrari model
• Two- and three-point functions in two-dimensional Landau-gauge Yang-Mills theory: Continuum results
• Correlation functions of three-dimensional Yang-Mills theory from the FRG
• On the renormalizability and unitarity of the Curci-Ferrari model for massive vector bosons
• Gluon-propagator functional form in the Landau gauge in SU(3) lattice QCD: Yukawa-type gluon propagator and anomalous gluon spectral function
• Correlation functions of three-dimensional Yang-Mills theory from Dyson-Schwinger equations
• A perturbative study of the QCD phase diagram for heavy quarks at nonzero chemical potential: two-loop corrections
• Small parameters in infrared quantum chromodynamics
• Nonperturbative Ball-Chiu construction of the three-gluon vertex
• Quark-gluon vertex from the Landau gauge Curci-Ferrari model
• Infrared facets of the three-gluon vertex
• Coupled dynamics in gluon mass generation and the impact of the three-gluon vertex
• Pseudoscalar glueball mass: a window on three-gluon interactions
• The anomalous dimension of the gluon-ghost mass operator in Yang-Mills theory
• Gluon mass scale through nonlinearities and vertex interplay
• Some non-renormalization theorems in Curci-Ferrari model
• The gluon propagator in linear covariant $R_{\xi }$ gauges
• Universal aspects of the phase diagram of QCD with heavy quarks
• The ghost-antighost-gluon vertex from the Curci-Ferrari model: Two-loop corrections
• Gauged supersymmetries in Yang-Mills theory
• Probing the tensor structure of lattice three-gluon vertex in Landau gauge
• Spontaneous chiral symmetry breaking in the massive Landau gauge: realistic running coupling
• Two-loop corrections to the QCD propagators within the Curci-Ferrari model
• Quark mass dependence of the one-loop three-gluon vertex in arbitrary dimension
• One-loop RG improvement of the screened massive expansion in the Landau gauge
• Novel sum rules for the three-point sector of QCD
• Three-point vertex functions in Yang-Mills Theory and QCD in Landau gauge
• Gluon mass and freezing of the QCD coupling

Cited by in corpus (7)

• QCD Running Couplings and Effective Charges
• Two-loop three-gluon vertex from the Curci-Ferrari model and its leading infrared behavior to all loop orders
• Four-gluon vertex from the Curci-Ferrari model at one-loop order
• Small parameters in infrared QCD: The pion decay constant
• Ghost-gluon vertex in the presence of the Gribov horizon: General kinematics
• QCD phase diagram from the gluon propagator at finite temperature and density
• Parton distribution and fragmentation functions with massive gluons